|
Search: id:A029047
|
|
|
| A029047 |
|
Expansion of 1/((1-x)(1-x^3)(1-x^6)(1-x^10)). |
|
+0
2
|
|
| 1, 1, 1, 2, 2, 2, 4, 4, 4, 6, 7, 7, 10, 11, 11, 14, 16, 16, 20, 22, 23, 27, 30, 31, 36, 39, 41, 46, 50, 52, 59, 63, 66, 73, 78, 81, 90, 95, 99, 108, 115, 119, 130, 137, 142, 153, 162, 167, 180, 189, 196, 209, 220, 227
(list; graph; listen)
|
|
|
OFFSET
|
0,4
|
|
|
COMMENT
|
Number of partitions of n into the first four triangular numbers, 1, 3, 6, and 10.
|
|
MAPLE
|
M := Matrix(20, (i, j)-> if (i=j-1) or (j=1 and member(i, [1, 3, 6, 14, 17, 19])) then 1 elif j=1 and member(i, [4, 7, 9, 11, 13, 16, 20]) then -1 elif j=1 and i=10 then 2 else 0 fi); a := n -> (M^(n))[1, 1]; seq (a(n), n=0..53); - Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 25 2008
|
|
CROSSREFS
|
Cf. A008620.
Sequence in context: A086159 A029048 A086160 this_sequence A007294 A053282 A001584
Adjacent sequences: A029044 A029045 A029046 this_sequence A029048 A029049 A029050
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
njas
|
|
|
Search completed in 0.002 seconds
|
